Limits & Continuity Math Worksheet 1.1 - Portland State University Page 7
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7Calculus Maximus
WS 1.1: Limits & Continuity
ì
x
+ b, x < 0
ae
ï
( )
( )
x = 0
=
x = 0
_____ 23. If f x
í
, then the value of b that makes f x
4,
continuous at
is
ï
bx - 2a, x > 0
ï
î
-2
(A) 2
(B)
(C) 4
(D) 6
(E) no such value exists
1
does not exist, then k
_____ 24. If
f x
and
lim
f x
x
2
x
k
1
(D) 2
(E) 1
(A) 2
(B) 3
(C) 1
ì
2
x
ï
, x ¹ 0
( )
=
_____ 25. The function f x
í
x
ï
x = 0
î
0,
(A) is continuous for all x
x = 0
(B) has a removable point discontinuity at
x = 0
(C) has a non-removable oscillation discontinuity at
x = 0
(D) has an non-removable infinite discontinuity at
x = 0
(E) has a non-removable jump discontinuity at
ì
- x
2
x
ï
, x ¹ 0
( )
x = 0
k =
=
_____ 26. If f x
í
is continuous at
, then
2x
ï
x = 0
k,
î
1
1
-1
(B) -
(A)
(C) 0
(D)
(E) 1
2
2
Page 7 of 7
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